A wave similar to the courtesy wave, done while driving under the influence. This wave is often done with the hand that is holding the container of alcohol because the other hand is firmly holding the steering wheel.

Dude 1: "I heard you almost got in an accident last night."
Dude 2: "Yeah dude, we were so drunk! The dude that was driving cut off this van and almost ran into him! He stuck his beer can out and waved sorry to the guy though."
Dude 1: "At least he gave him a good courtesy dwi wave..."